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Papessa [141]
11 months ago
8

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the f

ollowing. (See the figure below for thesample space of this experiment. Enter your probability as a fraction.)

Mathematics
1 answer:
tatyana61 [14]11 months ago
8 0

Given:

Total sample space, n(s)=36.

To find the probability that the sum of the pips is 6 on the upward faces of the 2 dice:

A be an event of getting the sum as 6.

n(A)=5

Hence, the probability that the sum of the pips 6 is,

\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ =\frac{5}{36} \end{gathered}

Hence, the answer is,

\frac{5}{36}

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Answer:

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Step-by-step explanation:

The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

My goal is to put in in this form first.  Then I will aim to put it in general form, ax+by+c=0.

So let's give it a go:

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To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference.  Like this:

( 1 , 6)

-(6 , 2)

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-5   4

So the slope is 4/-5 or -4/5.

So m=-4/5.

Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].

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So the y-intercept is 34/5.

The equation in slope-intercept form is:

y=-4/5 x + 34/5.

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Now add 4x on both sides:

4x+5y=34   This is standard form.

Subtract 34 on both sides:

4x+5y-34=0

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